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Finding the Fourth Proportional to 166,814, 230,204.94 and 99,746

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Solution

The fourth proportional to 166,814, 230,204.94 and 99,746 is: 137,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,814 : 230,204.94 = 99,746 : x
  2. Step 2: Convert to fraction form
    166,814/230,204.94 = 99,746/x
  3. Step 3: Cross multiply
    166,814x = 230,204.94 × 99,746
  4. Step 4: Simplify right side
    166,814x = 22,962,021,945.24
  5. Step 5: Solve for x
    x = 22,962,021,945.24/166,814
  6. Step 6: Final answer
    x = 137,650.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.